I Analytical Techniques for Multiple Scattering from Rough Surfaces

DeSanto, John A.; Brown, Gerald R.

doi:10.1016/s0079-6638(08)70030-1

Cited by 60 publications

(59 citation statements)

References 102 publications

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“…An analogous explanation has been given for the similar behaviors of the scattered wave observed at both dielectric rough and grain--periodic surface [15][16][17][18][19][20][21].…”

Section: Discussionsupporting

confidence: 56%

An Insight into Coherent Backscattering Evaluation Techniques of Prospective Use in High Frequency Polarimetric Radar Image Processing

Kapelewski

2010

Acta Phys. Pol. A

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Coherence in multiple scattering is important as it applies to imaging and detection of object in multiple scattering environments. These phenomena may also be used to investigate images of objects obscured by them. The scattering observations using very rough surfaces can provide useful insight into their statistic as they lie outside the range of validity of the standard theories. Recently, there has been growing interest in the phenomenon of backscattering enhancement in the reflection of electromagnetic waves of mm wave range from both atmospheric hydrometeors (rain, snow and precipitation) as well as very rough surfaces (including that of sea and terrain sea). Strong backscattering enhancement of mm waves incident at different incident angles, both in the TE and TM polarizations, was observed experimentally. In the paper a short description of specific techniques used for treating image processing of strongly irregular media is shortly presented. An emphasis is placed on the phenomena of interest in advanced polarimetric radar especially in mm wave range.PACS numbers: 41.20.Jb, 03.50.De Backscattering enhancementBackscattering enhancement phenomena have been observed for many years. It has been sometimes called the "retroreflectance" or the "opposition effect".Recently, more quantitative experimental and theoretical studies of the enhancement have been reported. Watson in [1] noted that the backscattered intensity is twice the intensity of the sum of incoherent multiple scattering and the first-order scattering. De Wolf in [2] showed that the backscattered intensity from turbulence is proportional to the fourth-order moment and approximately twice the multiple scattered intensity.It was explained in [3] that the enhanced peak is caused by the constructive interference of two waves traversing through the same particles in opposite directions. Physicists have also recognized that the transport of electrons in a strongly disordered material is governed by multiple scattering and that multiple scattering leads to "weak Anderson localization" caused by "coherent backscattering". It is then shown that both electron localization in disordered material and electromagnetic (EM) wave localization in disordered materials are governed by coherent backscattering (CB) which is caused by the constructive interference of two waves traversing in opposite directions. One I l corresponds to the wave multiply scattered through many particles, called the "ladder term". The other I c corresponds to two waves traversing through the * corresponding author; e-mail:jerzy.kapelewski@wel.wat.edu.pl same particles in opposite directions. This is called the "cyclical" or the "maximally crossed" term and has the same magnitude as I l in the back direction, but diminishes away from the back direction (Fig. 1). The essence of this division will be highlighted in Sect. 3. Also two waves scattered off the sloped surface interfere constructively in the back direction producing the enhanced peak. The angular width is relatively broad and appro...

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“…An analogous explanation has been given for the similar behaviors of the scattered wave observed at both dielectric rough and grain--periodic surface [15][16][17][18][19][20][21].…”

Section: Discussionsupporting

confidence: 56%

An Insight into Coherent Backscattering Evaluation Techniques of Prospective Use in High Frequency Polarimetric Radar Image Processing

Kapelewski

2010

Acta Phys. Pol. A

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“…This problem naturally arises in the analysis of spectral and transport properties of optics fibers, acoustic and radio waveguides, remote sensing, shallow water waves, multilayered systems and photonic lattices, etc. [10,11]. Also, similar problems arise when describing the spectral and transport properties of quantum quasi-particles in thin metal films and semiconductor nanostructures, such as nanowires and strips, superlattices and quantum-well-systems [12,13,14,15,16,17,18].…”

Section: Introductionmentioning

confidence: 99%

Anomalous transport in low-dimensional systems with correlated disorder

Izrailev¹,

Makarov²

2005

J. Phys. A: Math. Gen.

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Abstract. We review recent results on the anomalous transport in onedimensional and quasi-one-dimensional systems with bulk and surface disorder. Main attention is paid to the role of long-range correlations in random potentials for the bulk scattering, and in corrugated profiles for the surface scattering. It is shown that with a proper choice of correlations one can construct such a disorder that results in a selective transport with given properties. A particular interest is in the possibility to arrange windows of a complete transparency (or reflection) in the dependence on the wave number of incoming classical waves or electrons.

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“…1,2,3,4,5,6,7,8,9,10,11 One of the earlier theory used, is the small perturbations method (SPM) originally developped by Rice,12 this theory still remains of interest 11,13,14 because perturbative terms of order higher than one can produce enhanced backscattering, or improve predictions accuracy in an emission model. Although, the Rice method can be used in principle to determine all orders in the perturbative development, very few works use terms of order higher than one for a two-dimensional surface due to the calculations complexity.…”

Section: Introductionmentioning

confidence: 99%

Application of reduced Rayleigh equations to electromagnetic wave scattering by two-dimensional randomly rough surfaces

Soubret

Berginc²,

Bourrely

2001

Phys. Rev. B

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The small perturbations method has been extensively used for waves scattering by rough surfaces. The standard method developped by Rice is difficult to apply when we consider second and third order of scattered fields as a function of the surface height. Calculations can be greatly simplified with the use of reduced Rayleigh equations, because one of the unknown fields can be eliminated. We derive a new set of four reduced equations for the scattering amplitudes, which are applied to the cases of a rough conducting surface, and to a slab where one of the boundary is a rough surface. As in the one-dimensional case, numerical simulations show the appearance of enhanced backscattering for these structures.

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I Analytical Techniques for Multiple Scattering from Rough Surfaces

Cited by 60 publications

References 102 publications

An Insight into Coherent Backscattering Evaluation Techniques of Prospective Use in High Frequency Polarimetric Radar Image Processing

An Insight into Coherent Backscattering Evaluation Techniques of Prospective Use in High Frequency Polarimetric Radar Image Processing

Anomalous transport in low-dimensional systems with correlated disorder

Application of reduced Rayleigh equations to electromagnetic wave scattering by two-dimensional randomly rough surfaces

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